Mean sensitive, mean equicontinuous and almost periodic functions for dynamical systems

DOI10.3934/dcds.2019030zbMath1409.37037arXiv1509.05246OpenAlexW2268886362WikidataQ128929720 ScholiaQ128929720MaRDI QIDQ1757418

Felipe García-Ramos, Brian Marcus

Publication date: 4 January 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05246

zbMATH Keywords

almost periodic functionsdiscrete spectrumquasicrystalsmean equicontinuitymean sensitivity

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (13)

Amorphic complexity of group actions with applications to quasicrystals ⋮ Local non-periodic order and diam-mean equicontinuity on cellular automata ⋮ The structure of mean equicontinuous group actions ⋮ The systems with almost Banach-mean equicontinuity for abelian group actions ⋮ Dynamics on sensitive and equicontinuous functions ⋮ Pure point spectrum for dynamical systems and mean, Besicovitch and Weyl almost periodicity ⋮ Measure-theoretic equicontinuity and rigidity ⋮ When is a dynamical system mean sensitive? ⋮ Mean equicontinuity, complexity and applications ⋮ Mean equicontinuity, almost automorphy and regularity ⋮ Discrete spectrum for amenable group actions ⋮ Measure-theoretic mean equicontinuity and bounded complexity ⋮ An autocorrelation and a discrete spectrum for dynamical systems on metric spaces

Cites Work

• Unnamed Item
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• Isomorphic extensions and applications
• Measure-theoretical sensitivity and equicontinuity
• Mean-L-stable systems
• Interval maps, factors of maps, and chaos
• Pointwise theorems for amenable groups.
• Pure point dynamical and diffraction spectra
• Mathematics of aperiodic order
• On pairwise sensitivity
• Quasicrystals and almost periodicity
• Weak forms of topological and measure-theoretical equicontinuity: relationships with discrete spectrum and sequence entropy
• The ergodic theoretical proof of Szemerédi’s theorem
• Spectral theory and x-ray diffraction
• Equicontinuity and Almost Periodic Functions
• Characterization of model sets by dynamical systems
• Classes of linear automata
• The dynamical properties of Penrose tilings
• Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra
• Stability Properties of Flows with Pure Point Spectrum
• Mean equicontinuity and mean sensitivity
• Ergodic sets

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